Solution Found!
In 15–18 verify that the indicated function is an explicit
Chapter 1, Problem 16E(choose chapter or problem)
In Problems 15–18 verify that the indicated function \(y=\phi(x)\) is an explicit solution of the given first-order differential equation. Proceed as in Example 2, by considering \(\phi\) simply as a function, give its domain. Then by considering \(\phi\) as a solution of the differential equation, give at least one interval I of definition
\(y^{\prime}=25+y^{2}\) ; y=5 tan 5x
Text Transcription:
y=phi(x)
phi
y^prime = 25 + y^2
Questions & Answers
QUESTION:
In Problems 15–18 verify that the indicated function \(y=\phi(x)\) is an explicit solution of the given first-order differential equation. Proceed as in Example 2, by considering \(\phi\) simply as a function, give its domain. Then by considering \(\phi\) as a solution of the differential equation, give at least one interval I of definition
\(y^{\prime}=25+y^{2}\) ; y=5 tan 5x
Text Transcription:
y=phi(x)
phi
y^prime = 25 + y^2
ANSWER:Step 1 of 4
In this problem, we have to verify the function is an explicit solution of the given differential equation.